NMAK19005U Advances in Life Insurance Mathematics

Volume 2021/2022

MSc Programme in Actuarial Mathematics


Selection of topics related to modeling, valuation, and pricing in multi-state life insurance and pensions with a strong connection to the research of the present century. Topics may include but are not limited to: cashflows, policyholder behavior, estimation, market consistent valuation, projection and computation of bonus, higher order moments, implementation of procedures in R.

Learning Outcome

At the end of the course the student is expected to have:


Knowledge about selected topics related to modeling, valuation, and pricing in the Markov life insurance setup.


Skills to formulate, formalize, and solve theoretical and practical problems related to modeling, valuation, and pricing in the Markov life insurance setup.
Skills to implement procedures related to modeling, valuation, and pricing in the Markov life insurance setup in R.


The course will strengthen the student's competences in navigating inside the Markov life insurance setup and develop the student's ability to formulate and handle new models inside this setup.

The course literature will primarily consist of research papers from primarily actuarial journals, which will be made available on Absalon.

Stochastic Processes in Life Insurance (LivStok)

Academic qualifications equivalent to a BSc degree is recommended.

The student is also recommended to have prior experience in programming using the language R, e.g. obtained through the bachelor programme in Actuarial Mathematics from the University of Copenhagen.
5 hours of lectures each week for 7 weeks. In addition to this a total of 2 x 2 hours of exercise classes where the students can work on their mandatory homework sets.
  • Category
  • Hours
  • Lectures
  • 35
  • Preparation
  • 166
  • Theory exercises
  • 4
  • Exam
  • 1
  • Total
  • 206
Continuous feedback during the course of the semester
Feedback by final exam (In addition to the grade)


The students will recieve either oral or written feedback in connection with their two mandatory homework sets.

7,5 ECTS
Type of assessment
Oral examination, 30 minutes
Without preparation.
Exam registration requirements

To participate in the exam, two mandatory homework sets must be approved.

Without aids
Marking scale
7-point grading scale
Censorship form
No external censorship
Several internal examiners.

The same as the ordinary exam. If the required homework sets are not approved before the ordinary exam, the non-approved set(s) must be handed in no later than three weeks before the beginning of the re-exam week.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.